Chickens need the water, or any fluid, well down the throat KC. Apparently they have airways under the tongue as well as in the top of the beak. Ours choke if we don't get the head well back so the throat is vertical and if we give them so much they can't swallow, or don't swallow. Some just open their throat and let it in. Others will only handle it in drops. They go into a coughing fit if they breath it in, but they clear it eventually. So if in doubt, tiny amounts and release to give them time to swallow. Only a few of ours will swallow with a massage of the neck.
We administer Flubenvet this way -but that's another topic.